Math 11 Opener - 10/31/11
Learning Target: Graphing Absolute Value Functions
1) Graph the following inequality. 2x ­ 6y > 12
2) Check your solution.
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Homework Key:
1) no
2) yes
Graphing Inequalities WS
3) yes
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Notes:
Graphing Absolute Value Functions
Graph the function:
f(x) = x
What shape does an absolute value function
make? Why do you think this is?
Vertex - highest/lowest point on the graph of an
absolute value function
What is the vertex of the graph above?
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Transformation - changes a graph's size, shape, or
location
Translation - "slide" - shifts graph up/down/left/right
The equation below represents an absolute value
function that has been translated:
y=
x-h +k
shifts right if negative
shifts left if positive
vertex of this graph:
(h, k)
shifts up if positive
shifts down if negative
...change the sign of h
Example: Identify the vertex and describe the
translation applied to the following graphs.
y=
x-1 +5
y=
x+2 -3
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Graphing Absolute Value Functions
y=
x-h +k
1) Plot vertex
2) Plot one point on graph
3) Use symmetry to get the other point
Examples: Graph the following absolute value functions.
y=
x-2 +3
y=
x+4 -1
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Exit Ticket:
1) Graph the following absolute value function:
y=
x-5 +3
2) Describe how this graph moved compared
to the original y = x graph.
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